Information on Result #699235
Linear OA(8174, 531460, F81, 24) (dual of [531460, 531386, 25]-code), using construction X applied to Ce(23) ⊂ Ce(18) based on
- linear OA(8170, 531441, F81, 24) (dual of [531441, 531371, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(8155, 531441, F81, 19) (dual of [531441, 531386, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(814, 19, F81, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,81)), using
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- Reed–Solomon code RS(77,81) [i]
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8174, 265730, F81, 2, 24) (dual of [(265730, 2), 531386, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8174, 177153, F81, 3, 24) (dual of [(177153, 3), 531385, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(8174, 132865, F81, 4, 24) (dual of [(132865, 4), 531386, 25]-NRT-code) | [i] | ||